Answer

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**Hint:**Let us think that the number we want to think is $x$ and then it is saying to add $5$ that is the number becomes $x + 5$ and again multiplies by $6$. So we get $6(x + 5)$ and this is equal to $180$. Now you can easily find the value of $x$ upon simplification.

**Complete step-by-step answer:**

Here we have to think of the number to which we add $5$ and then multiply by $6$ we should get $180$.

So let us assume that the number we want to think is $x$ and then it is saying to add $5$ that is the number becomes $x + 5$. Here $x$ is the original number which we had to find.

Now again the question says that we need to multiply the above result by $6$. Here the question is not saying to multiply $6$ by $x$ but by the new number we got. Here the new number is $x + 5$. So now again we get the new number after multiplying which we get $6(x + 5)$.

And in the question it is said that we think of a number $x$ and then it is said to add $5$ that is the number becomes $x + 5$ and again multiplies by $6$. So we get $6(x + 5)$ and this is equal to $180$.

So $6(x + 5)$$ = 180$

Upon simplification, we get that

$\Rightarrow$$6x + 30 = 180$

$\Rightarrow$$6x = 150$

Now divide by $6$ on both the sides, we get

$\Rightarrow$$x = \dfrac{{150}}{6} = 25$

Hence $25$ is the required number we need to think.

**Option C is the correct answer.**

**Note:**We can also do this by taking the options. For example: if we take the option $35$

So firstly we need to add $5$, so we get $35 + 5 = 40$

Now multiply by $6$, we get $40(6) = 240$$ \ne 180$

Hence this option is incorrect.

Now when we take $25$, add $5$, so we get $25 + 5 = 30$

Now multiply by $6$, we get $30(6) = 180$

Hence this option is correct.

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